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f(x)={[-6," for ",x!=1],[6," for ",x=1]:}
Find 
f(-6)
Answer:

f(x)={6amp; for amp;x16amp; for amp;x=1 f(x)=\left\{\begin{array}{lll} -6 & \text { for } & x \neq 1 \\ 6 & \text { for } & x=1 \end{array}\right. \newlineFind f(6) f(-6) \newlineAnswer:\newline

Full solution

Q. f(x)={6 for x16 for x=1 f(x)=\left\{\begin{array}{lll} -6 & \text { for } & x \neq 1 \\ 6 & \text { for } & x=1 \end{array}\right. \newlineFind f(6) f(-6) \newlineAnswer:\newline
  1. Given Function: We are given a piecewise function f(x)f(x) with two cases:\newline11. f(x)=6f(x) = -6 for all xx except when x=1x = 1\newline22. f(x)=6f(x) = 6 when x=1x = 1\newlineSince we need to find f(6)f(-6), we look at the first case because 6-6 is not equal to 11.
  2. Find f(6)f(-6): We apply the first case of the piecewise function to find f(6)f(-6).\newlinef(6)=6f(-6) = -6 because xx is not equal to 11.